What is the Least Common Multiple of 41008 and 41025?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 41008 and 41025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41008 and 41025, than apply into the LCM equation.

GCF(41008,41025) = 1
LCM(41008,41025) = ( 41008 × 41025) / 1
LCM(41008,41025) = 1682353200 / 1
LCM(41008,41025) = 1682353200

Least Common Multiple (LCM) of 41008 and 41025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41008 and 41025. First we will calculate the prime factors of 41008 and 41025.

Prime Factorization of 41008

Prime Factorization of 41025

Now multiplying the highest exponent prime factors to calculate the LCM of 41008 and 41025.

LCM(41008,41025) = 2⁴ × 11¹ × 233¹ × 3¹ × 5² × 547¹
LCM(41008,41025) = 1682353200